SUBMAXIMALLY SYMMETRIC ALMOST QUATERNIONIC STRUCTURES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F18%3A43897757" target="_blank" >RIV/60076658:12310/18:43897757 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2Fs00031-017-9453-6.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs00031-017-9453-6.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00031-017-9453-6" target="_blank" >10.1007/s00031-017-9453-6</a>

Result language
angličtina
Original language name
SUBMAXIMALLY SYMMETRIC ALMOST QUATERNIONIC STRUCTURES
Original language description
The symmetry dimension of a geometric structure is the dimension of its symmetry algebra. We investigate symmetries of almost quaternionic structures of quaternionic dimension n. The maximal possible symmetry is realized by the quaternionic projective space a"iP (n) , which is at and has the symmetry algebra of dimension 4n (2) + 8n + 3. For non-flat almost quaternionic manifolds we compute the next biggest (submaximal) symmetry dimension. We show that it is equal to 4n (2) -4n+9 for n > 1 (it is equal to 8 for n = 1). This is realized both by a quaternionic structure (torsion-free) and by an almost quaternionic structure with vanishing quaternionic Weyl curvature.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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